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rosijanka [135]
2 years ago
10

Write the expression |x-3| +|x-4| without the absolute value symbols if x is in the given interval. (-infinity, 1)

Mathematics
1 answer:
emmainna [20.7K]2 years ago
4 0

Answer:

6

Step-by-step explanation:

(x-3)(x-4)

= (1-3)(1-4)

= 2x3

=6

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If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height, then find the ratio of the
Oduvanchick [21]

<u>Given</u><u> </u><u>info:</u><u>-</u>If the radius of a right circular cylinder is doubled and height becomes 1/4 of the original height.

Find the ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder ?

<u>Explanation</u><u>:</u><u>-</u>

Let the radius of the right circular cylinder be r units

Let the radius of the right circular cylinder be h units

Curved Surface Area of the original right circular cylinder = 2πrh sq.units ----(i)

If the radius of the right circular cylinder is doubled then the radius of the new cylinder = 2r units

The height of the new right circular cylinder

= (1/4)×h units

⇛ h/4 units

Curved Surface Area of the new cylinder

= 2π(2r)(h/4) sq.units

⇛ 4πrh/4 sq.units

⇛ πrh sq.units --------(ii)

The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder

⇛ πrh : 2πrh

⇛ πrh / 2πrh

⇛ 1/2

⇛ 1:2

Therefore the ratio = 1:2

The ratio of the Curved Surface Areas of the new cylinder to that of the original cylinder is 1:2

6 0
2 years ago
Peter is making new cushion covers for a chair. There are three sizes of
Lesechka [4]

Answer:

A 846 square inches

Step-by-step explanation:

Use the net:

Rectangle 1: (21 in + 3 in + 21 in + 3 in) by 15 in.

Rectangle 2: 21 in by 3 in

Rectangle 3: 21 in by 3 in

total area = sum of areas of 3 rectangles above.

total area = (48 in * 15 in) + 2(21 in * 3 in)

total area = 720 in^2 + 126 in^2

total area = 801 in^2

Answer: A 846 square inches

6 0
2 years ago
Chris sells roses for $25.99 a bunch. At the end of the day he has collected $285.89. How many bunches of roses did he sell
Kryger [21]
11 bunches
In order to find how many bunches he sold, do 285.89/25.99
hope this helps!
3 0
3 years ago
Read 2 more answers
Gavin deposited $516 into a special savings account that earns 6.25% interest after 1 year. If Gavin doesn’t deposit any money i
tiny-mole [99]

Answer:

The amount of interest earned after a year is $32.25

Step-by-step explanation:

In this question, we are asked to calculate the amount of interest generated by depositing a sum into an account.

To calculate the interest earned, we use the simple interest formula.

Mathematically;

I = PRT/100

where I is the interest earned

R is the rate which is 6.25% according to the question

T is the time taken which is 1 year

P is the amount of money deposited also know. as the principal which is $516

Plugging these values we have

I = (516 * 6.25 * 1)/100 = $32.25

6 0
2 years ago
What is the number you are multiplying by in a sequence
slega [8]

Answer:

common ratio

Step-by-step explanation:

When you have a geometric sequence

an = a1 r^(n-1)

The term r is call the common ratio, which is the number we are multiplying by each time

3 0
3 years ago
Read 2 more answers
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